 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| M. Ya. Izrailovich, "Controlled damping of self-excited frictional vibrations in a two-mass system with relative slip of the bodies," Mech. Solids. 36 (6), 58-63 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
6 |
Pages |
58-63 |
| Title |
Controlled damping of self-excited frictional vibrations in a two-mass system with relative slip of the bodies |
| Author(s) |
M. Ya. Izrailovich (Moscow) |
| Abstract |
A feedback control is constructed to reduce the amplitude of self-excited
vibrations caused by the interaction of two bodies sliding along one another.
One of these bodies is attached to a fixed base by an elastic spring.
The other body has a spring attached to this body by one of its ends, while
the other end is subjected to a kinematical excitation mastering the desired
motion of the body. The solution is obtained on the basis of a procedure
involving harmonic linearization of the nonlinear self-vibratory
characteristic with separation of the motion into the fast and
slow components and variational methods. The fast component corresponds
to self-vibratory motions, while the slow one is due to the external
kinematic excitation. The solution is expressed in closed form. |
| References |
| 1. | M. M. Vetyukov and R. F. Nagaev, "Self-excited vibrations
in a two-mass system with relative slip of the bodies,"
Izv. AN. MTT [Mechanics of Solids], No. 5, pp. 34-40, 1998. |
| 2. | E. P. Popov, Applied Theory of Controlled Processes
in Nonlinear Systems [in Russian], Nauka, Moscow, 1973. |
| 3. | M. Ya. Izrailovich, "Controlled damping of two-frequency
vibrations," Izv. AN. MTT [Mechanics of Solids], No. 3,
pp. 3-11, 1999. |
| 4. | V. I. Babitskii, Theory of Vibro-impact Systems [in Russian],
Nauka, Moscow, 1978. |
| 5. | I. I. Vul'fson and M. Z. Kolovskii, Nonlinear Problems
in Dynamics of Machines [in Russian], Mashinostroenie,
Leningrad, 1968. |
|
| Received |
16 December 1999 |
| << Previous article | Volume 36, Issue 6 / 2001 | Next article >> |
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